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Finding the Fourth Proportional to 65,821.82, 90,834.01 and 35,607.04

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Solution

The fourth proportional to 65,821.82, 90,834.01 and 35,607.04 is: 49,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,821.82 : 90,834.01 = 35,607.04 : x
  2. Step 2: Convert to fraction form
    65,821.82/90,834.01 = 35,607.04/x
  3. Step 3: Cross multiply
    65,821.82x = 90,834.01 × 35,607.04
  4. Step 4: Simplify right side
    65,821.82x = 3,234,329,911.33
  5. Step 5: Solve for x
    x = 3,234,329,911.33/65,821.82
  6. Step 6: Final answer
    x = 49,137.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.